Skrtel suffered the injury during their 3-2 win against Manchester City on Sunday.
Liverpool spokesman Ian Cotton said: “Martin was examined by a specialist today, who confirmed the player does not require surgery and is expected to be back playing by Christmas.”
“Everyone can see that the understanding between Martin and Carra is becoming really good,” Benitez told Liverpoolfc.tv. “To lose a player who is doing well is always a problem. It’s bad news, but we have other options.
“Martin has learned a lot. He already had good qualities and potential when we decided to bring him here. We had a lot of confidence in him but you can always improve, especially playing alongside experienced players and working under the staff here. He has done that.
“He has given me a selection headache this season but that is a good problem for me as a manager.”